Metrical and Dynamical Aspects in Complex Analysis
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Beschreibung
The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area.
Offers a new point of view on geometric complex analysis
Collects together notes in several very active areas of research
Includes expository presentations and numerous applications
Offers a new point of view on geometric complex analysis Collects together notes in several very active areas of research Includes expository presentations and numerous applications
Autor*in
Léa Blanc-Centi
Themen in »Metrical and Dynamical Aspects in Complex Analysis«
Complex Dynamics Convex Domains Gromov Hyperbolicity Kobayashi Metric Quasi-conformal Mappings 32F45, 32T99, 30C65, 53C23, 53B40, 37F99, 51F99